tinggi prisma = 8 cm
alas segitiga prisma = 9 - 3
= 6 cm
tinggi segitiga prisma = 8 cm
tinggi balok = 3 cm
lebar balok = 8 cm
panjang balok = 8 cm
sisi miring segitiga² = 6² + 8²
sisi miring segitiga² = 36 + 64
sisi miring segitiga² = 100
sisi miring segitiga =
sisi miring segitiga = 10 cm
LP. prisma = 2 × luas alas + luas selimut prisma
= 2 × 1/2 × a × t + keliling segitiga × tinggi prisma
= 2 × 1/2 × 6 × 8 + ( 10 + 8 + 6 ) × 8
= 2 × 1/2 × 6 × 8 + 24 × 8
= 2 × 3 × 8 + 192
= 6 × 8 + 192
= 48 + 192
= 240 cm²
LP.balok = 2 × ((P × L ) + ( P × T) + ( L × T ))
= 2 × ((8 × 8) + ( 8 × 3) + (8 × 3))
= 2 × (64 + 24 + 24 )
= 2 × 112
= 224 cm²
BB = 8 × 8
= 64 cm
LP. gabungan = 240 + 224 - 2 × BB
= 240 + 224 - 2 × 64
= 240 + 224 - 128
= 464 - 128
= 336 cm²
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Diketahui
tinggi prisma = 8 cm
alas segitiga prisma = 9 - 3
= 6 cm
tinggi segitiga prisma = 8 cm
tinggi balok = 3 cm
lebar balok = 8 cm
panjang balok = 8 cm
Penyelesaian
sisi miring segitiga² = 6² + 8²
sisi miring segitiga² = 36 + 64
sisi miring segitiga² = 100
sisi miring segitiga =![\sqrt[2]{100}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B100%7D "\sqrt[2]{100}")
sisi miring segitiga = 10 cm
LP. prisma = 2 × luas alas + luas selimut prisma
= 2 × 1/2 × a × t + keliling segitiga × tinggi prisma
= 2 × 1/2 × 6 × 8 + ( 10 + 8 + 6 ) × 8
= 2 × 1/2 × 6 × 8 + 24 × 8
= 2 × 3 × 8 + 192
= 6 × 8 + 192
= 48 + 192
= 240 cm²
LP.balok = 2 × ((P × L ) + ( P × T) + ( L × T ))
= 2 × ((8 × 8) + ( 8 × 3) + (8 × 3))
= 2 × (64 + 24 + 24 )
= 2 × 112
= 224 cm²
BB = 8 × 8
= 64 cm
LP. gabungan = 240 + 224 - 2 × BB
= 240 + 224 - 2 × 64
= 240 + 224 - 128
= 464 - 128
= 336 cm²